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10220100231000 = 2335311309700007
BaseRepresentation
bin1001010010111000110101…
…1100011001111101011000
31100012000212100122110122210
42110232031130121331120
52314421231124343000
633423014344515120
72103243416422002
oct224561534317530
940160770573583
1010220100231000
113290358163280
121190882a7baa0
1359199c846cba
14274926947372
1512acacd31350
hex94b8d719f58

10220100231000 has 128 divisors (see below), whose sum is σ = 34785504898560. Its totient is φ = 2477600048000.

The previous prime is 10220100230999. The next prime is 10220100231001. The reversal of 10220100231000 is 13200102201.

It is an interprime number because it is at equal distance from previous prime (10220100230999) and next prime (10220100231001).

It is a super-2 number, since 2×102201002310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220100231001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154817004 + ... + 154883003.

It is an arithmetic number, because the mean of its divisors is an integer number (271761757020).

Almost surely, 210220100231000 is an apocalyptic number.

10220100231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220100231000 is an abundant number, since it is smaller than the sum of its proper divisors (24565404667560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10220100231000 is a wasteful number, since it uses less digits than its factorization.

10220100231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309700042 (or 309700028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220100231000 its reverse (13200102201), we get a palindrome (10233300333201).

The spelling of 10220100231000 in words is "ten trillion, two hundred twenty billion, one hundred million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 309700007 619400014 929100021 1238800028 1548500035 1858200042 2477600056 3097000070 3406700077 3716400084 4645500105 6194000140 6813400154 7432800168 7742500175 9291000210 10220100231 12388000280 13626800308 15485000350 17033500385 18582000420 20440200462 23227500525 27253600616 30970000700 34067000770 37164000840 38712500875 40880400924 46455001050 51100501155 61940001400 68134001540 77425001750 81760801848 85167501925 92910002100 102201002310 116137502625 136268003080 154850003500 170335003850 185820004200 204402004620 232275005250 255502505775 309700007000 340670007700 408804009240 425837509625 464550010500 511005011550 681340015400 851675019250 929100021000 1022010023100 1277512528875 1703350038500 2044020046200 2555025057750 3406700077000 5110050115500 10220100231000